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Question

On which factor pressure exerted by water at the bottom of the container depends? Explain by an example.


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Solution

Pressure: It is defined as the force per unit area. SI unit of pressure is pascal.

P=Hg

Here, H = Height to which liquid is filled in the container

₰ = Density of liquid filled in the container

g = Acceleration due to gravity.

The pressure exerted by water at the bottom of the container depends on the following factors :

  1. Height to which the liquid is filled in the container: Pressure exerted by the liquid depends on the height to which the liquid is filled. As the height increases pressure also increases.
  2. Density of the liquid: If the density of the liquid is more, then pressure is also more and vice-versa.
  3. Acceleration due to Gravity: It is directly proportional to acceleration due to gravity.
  4. For Example: If we take a beaker filled with water having three pores of different heights, we observed that -

1st case: When the pore is at the uppermost part :

  1. In this case, water falls near the bottom of the beaker.
  2. Because at the uppermost part of the beaker there is less pressure due to the less height.

2nd case: When the pore is at the middle part :

  1. In this case water falls a little far from the bottom of the beaker as compared to 1st case.
  2. Because at the middle part of the beaker there is more pressure as compared to the 1st case (deeper point).

3rd case: When the pore is at the bottom part :

  1. In this case water falls far from the bottom of the beaker as compared to the upper two cases.
  2. Because at the bottom part of the beaker there is more pressure as compared to the upper two cases (deepest point).

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